The existence of mild and classical solutions for a second-order abstract fractional problem

✍ Scribed by Nasser-eddine Tatar

• Publisher: Elsevier Science
• Year: 2010
• Tongue: English
• Weight: 301 KB
• Volume: 73
• Category: Article
• ISSN: 0362-546X
• DOI: 10.1016/j.na.2010.06.085

✦ Synopsis

In this paper we consider a second-order abstract problem involving derivatives of noninteger order. The existence and uniqueness of mild and classical solutions are established in appropriate spaces under weak assumptions.